Finding the Third Proportional to 82,492 and 128,048

Step by Step Solution

1. Step 1: Write the proportion equation
   82,492 : 128,048 = 128,048 : x
2. Step 2: Convert to fraction form
   82,492/128,048 = 128,048/x
3. Step 3: Cross multiply
   82,492x = 128,048 × 128,048
4. Step 4: Simplify right side
   82,492x = 16,396,290,304
5. Step 5: Solve for x
   x = 16,396,290,304/82,492
6. Step 6: Final answer
   x = 198,762.19